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The quality control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether...

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Basic Math

The quality control manager at a compact fluorescent lightbulb (CFL) factory needs to determine whether the mean life of alarge shipment of CFLs is equal to 7,500 hours. The populationstandard deviation is 1,200 hours. A random sample of 64 CFLsindicates a sample mean life of 7,250 hours.

a. At the 0.05 level of significance, is there evidence thatthe mean life is different from 7,500 hours?

b. Compute the p-value and interpret its meaning.

c. Construct a 95% confidence interval estimate of thepopulation mean life of the CFLs.

d. Compare the results of (a) and (c). What conclusions doyou reach?

Answer & Explanation Solved by verified expert
4.1 Ratings (653 Votes)
a The hypotheses areRejection regionReject the null hypothesis ifZ0bsZ0025196Test statistic calculated ashence calculated as 167P valueP value calculated from the t stststics table as0095ConclusionSince Zobslevel of significace hence we fail to    See Answer
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